Global solutions of Maxwell's equations in an electromagnetic field with a temperature-dependent electrical conductivity

In this paper we prove the existence of a solution for a system of nonlinear parabolic partial differential equations arising from thermoelectric modelling of metallurgical electrodes undergoing a phase change. The model consists of an electromagnetic problem for eddy current computation coupled with a Stefan problem for temperature. The proof uses a regularized problem obtained by truncating the source term in temperature equation. Passing to the limit requires fine a priori estimates leading to compactness.

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“…Let E and H be the electric and the magnetic fields in Ω. The following mathematical model appears in Yin [8,10,11]. (cf.…”

Section: Applicationsmentioning

confidence: 99%

On the regularity of solutions to a parabolic system related to Maxwell's equations

Kang

Kim

Minut

2004

Journal of Mathematical Analysis and Applications

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Global solutions of Maxwell's equations in an electromagnetic field with a temperature-dependent electrical conductivity

Abstract: Link to this article: http://journals.cambridge.org/abstract_S0956792500001297How to cite this article: Hong-Ming Yin (1994). Global solutions of Maxwell's equations in an electromagnetic eld with a temperature-dependent electrical conductivity.

Cited by 21 publications

References 8 publications

Regularity of solutions to maxwell's system in quasi-stationary

Regularity of solutions to maxwell's system in quasi-stationary

A nonlinear partial differential system arising in thermoelectricity

On the regularity of solutions to a parabolic system related to Maxwell's equations

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